Cr-doped Ni–Zn ferrite nanoparticles having the general formula Ni0.5Zn0.5CrxFe2−xO4 (x=0.1, 0.3, 0.5) were prepared by the simplified sol–gel method. The structural and dielectric properties of the samples sintered at 750±5 °C were studied. X-ray diffraction (XRD) patterns confirm the single-phase spinel structure of the prepared samples. The crystallite size calculated from the most intense peak (3 1 1) using the Debye–Scherrer formula was 29–34 nm. Scanning electron microscope images showed that the particle size of the samples lies in the nanometer regime. The dielectric constant (εr), dielectric loss tangent (tan δ) and ac electrical conductivity (σac) of nanocrystalline Cr–Ni–Zn ferrites were investigated as a function of frequency and Cr concentration. The dependence of εr, tan δ and σac on the frequency of alternating applied electric field is in accordance with the Maxwell–Wagner model. The effect of Cr doping on the dielectric and electric properties was explained on the basis of cations distribution in the crystal structure.